Generally, you can with all cameras. All you need is a shallow depth of field. You can achieve this by using a low aperture (ex. f/2.8, f/1.8) The lower the f/#, the shallower your depth of field will be.
The quality of a Nikon depends on the models, but typically in the models from the past couple years the image stabilizers inside the lower end models are fairly cheap. This means that most of the...
To photograph lightning, you have to a pretty large extent get lucky! You have to get into a position where you can see the lightening. You will need a tripod and a cable release.
With the camera on...